Walk unevenly, drooping (4)
I believe the answer is:
limp
I believe this is a double definition.
'walk unevenly' is the first definition.
(to limp is to walk unevenly)
'drooping' is the second definition.
(I know that drooping can be written as limp)
(Other definitions for limp that I've seen before include "Not stiff or firm" , "Wanting stiffness" , "Flaccid" , "Walk stiffly - lacking energy" , "Walk with an injury" .)